Pith Number

pith:DWDWHR42

pith:2025:DWDWHR42IQJQ6JXNDQSDA5U4TI

not attested not anchored not stored refs pending

Isogeny graphs of abelian varieties and singular ideals in orders

Caleb Springer, Sarah Arpin, Stefano Marseglia

arxiv:2508.03570 v1 · 2025-08-05 · math.NT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DWDWHR42IQJQ6JXNDQSDA5U4TI}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-07-05T11:48:59.320910Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1d8763c79a44130f26ed1c2430769c9a147ad4ee835b99c1ab2010ce26d56a72

Aliases

arxiv: 2508.03570 · arxiv_version: 2508.03570v1 · doi: 10.48550/arxiv.2508.03570 · pith_short_12: DWDWHR42IQJQ · pith_short_16: DWDWHR42IQJQ6JXN · pith_short_8: DWDWHR42

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/DWDWHR42IQJQ6JXNDQSDA5U4TI \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 1d8763c79a44130f26ed1c2430769c9a147ad4ee835b99c1ab2010ce26d56a72

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "69ac78c9fed168aa12b42842a6df639cdc97eda857b573faf612685eff0e90ac",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2025-08-05T15:39:09Z",
    "title_canon_sha256": "b59b6aaf1751634de3b4aafc6762c453c1d11c69edbd6b3354beab48ccc16576"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2508.03570",
    "kind": "arxiv",
    "version": 1
  }
}